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Subject: It takes math to show truth, matter how strongly you feel about it.

Author: Dann Corbit

Date: 10:56:38 01/28/00

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On January 28, 2000 at 12:07:17, David Paulowich wrote:

>On January 28, 2000 at 07:27:54, Enrique Irazoqui wrote:
>
>>There is a degree of uncertainty, but I don't think you need 1000 matches of 200
>>games each to have an idea of who is best.
>>
>>Fischer became a chess legend for the games he played between his comeback in
>>1970 to the Spassky match of 1972. In this period of time he played 157 games
>>that proved to all of us without the hint of a doubt that he was the very best
>>chess player of those times.
>>
>>Kasparov has been the undisputed best for many years. From 1984 until now, he
>>played a total of 772 rated games. He needed less than half these games to
>>convince everyone about who is the best chess player.
>>
>>This makes more sense to me than the probability stuff of your Qbasic program.
>>Otherwise we would reach the absurd of believing that all the rankings in the
>>history of chess are meaningless, and Capablanca, Fischer and Kasparov had long
>>streaks of luck.
>>
>>You must have thought along these lines too when you proposed the matches
>>Tiger-Diep and Tiger-Crafty as being meaningful, in spite of not being 200,000
>>games long.
>>
>>Enrique
>
>
>I think we need to treat men and machines differently here.  I can accept a
>20 game match between two human players as conclusive, for the year it was
>played.  And a 400 game match between two computers would convince me.
>As long as the computers have a completely different way of playing,
>looking at thousands of times more positions than human players do, they
>may have to play much longer matches to produce truly convincing results.

I think both positions are not correct.  We see an experiment and assume it is
repeatable because it repeated.  I flip a penny twenty times and it comes up
heads 18 out of 20.  What are the odds it will be a head on the next flip?  It
is 0.5 out of 1, the same as if it had been 18 tails out of 20.  We watch a
brilliant game and think that we can draw from that that player x is much
stronger than player y.  The truth of the matter is that we probably understand
the play of neither x nor y since they are hundreds of times better than we are
anyway.

The ability of a player, whether man or machine, can be judged rationally only
by a purely mathematical basis.  Observing a few games and drawing a conclusion
is the same sort of science as burning witches and eating mercury to live
forever.  Seemed like a good thing to do at the time, but it did not have the
scientific basis it purported to possess.



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